In particular, the mentioned model reproduces the Abelian-Higgs model for s-wave superconductors and the CKMWY model for d-wave superconductors studied in Ref. [1]} and Ref. [2]}, respectively.
On the other hand, the equations of motion derived in the
naïve model differ slightly from the SU(2) Yang-Mills model for p-wave superconductors of Ref. [3]} and the BHRY model for d-wave superconductors of Ref. [4]}.
The differences can be regarded as a change in the dynamical mass and only affect the critical temperature's dependence on the extra-dimensional parameters, whereas the scaling with the charge density \(\rho \)  is universal and leads to the same
superconductor phenomenology. Moreover, a direct comparison of the numerical results shows that the coefficient of the condensate computed with the naïve d-wave model differs by approximately 25% from the physical BHRY d-wave model.
